102202120032100 has 108 divisors (see below), whose sum is σ = 246051429481872. Its totient is φ = 36817075908800.

The previous prime is 102202120032097. The next prime is 102202120032127. The reversal of 102202120032100 is 1230021202201.

It is a happy number.

It is a super-2 number, since 2×102202120032100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38174722 + ... + 40764121.

It is an arithmetic number, because the mean of its divisors is an integer number (2278253976684).

Almost surely, 2^{102202120032100} is an apocalyptic number.

102202120032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202120032100 is an abundant number, since it is smaller than the sum of its proper divisors (143849309449772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102202120032100 is a wasteful number, since it uses less digits than its factorization.

102202120032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78938986 (or 78938968 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102202120032100 its reverse (1230021202201), we get a palindrome (103432141234301).

The spelling of 102202120032100 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, thirty-two thousand, one hundred".